SOLUTION: Vice Presidents The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selec

Algebra ->  Permutations -> SOLUTION: Vice Presidents The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selec      Log On


   

Question 423859: Vice Presidents The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selected as vice president of research. How many different arrangements of the two vice presidents are possible?
There are 9 ways to pick a vice president of marketing and 8 ways to pick the vice president of research
9!=9*8*7*6*5*4*3*2*1=362880 times for VP of marketing
8!= 8*7*6*5*4*3*2*1=40320 times for VP of research
Can you see if my answers are correct I am so lost.
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

your solution is wrong......

no. of ways to select a vice president of marketing = 9C1 = 9

no. of ways to select a vice president of research = 8C1 = 8


total no. of ways to select two vice presidents = 9*8 = 72

so, answer is 72 only.